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Question 7842 – GATE 2018
February 10, 2024
GATE 2009
February 10, 2024
Question 7842 – GATE 2018
February 10, 2024
GATE 2009
February 10, 2024

GATE 2009

Question 1

Which one of the following in NOT necessarily a property of a Group?

A
Commutativity
B
Associativity
C
Existence of inverse for every element
D
Existence of identity
Question 1 Explanation: 
A Group should satisfy Closure, Associative, should have identity element and each element has inverse.
So, commutativity is not required.
Correct Answer: A
Question 1 Explanation: 
A Group should satisfy Closure, Associative, should have identity element and each element has inverse.
So, commutativity is not required.

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